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2a^{2}-ab+8-6a^{2}-2ab+4b^{2}-5
To find the opposite of 6a^{2}+2ab-4b^{2}+5, find the opposite of each term.
-4a^{2}-ab+8-2ab+4b^{2}-5
Combine 2a^{2} and -6a^{2} to get -4a^{2}.
-4a^{2}-3ab+8+4b^{2}-5
Combine -ab and -2ab to get -3ab.
-4a^{2}-3ab+3+4b^{2}
Subtract 5 from 8 to get 3.
2a^{2}-ab+8-6a^{2}-2ab+4b^{2}-5
To find the opposite of 6a^{2}+2ab-4b^{2}+5, find the opposite of each term.
-4a^{2}-ab+8-2ab+4b^{2}-5
Combine 2a^{2} and -6a^{2} to get -4a^{2}.
-4a^{2}-3ab+8+4b^{2}-5
Combine -ab and -2ab to get -3ab.
-4a^{2}-3ab+3+4b^{2}
Subtract 5 from 8 to get 3.